Now, we perform the multiplications: 3 × 7.1 = 21.3 and 2 × 7.2 = 14.4.

Using empirical relationship, the mode of a distribution whose mean is 7.2 and the median 7.1, is :

Answer: 6.9

Step-by-step solution

Step 1: Recall the Empirical Relationship

The empirical relationship between the mean, median, and mode is a statistical formula used for moderately skewed distributions. It states that the mode is approximately equal to three times the median minus two times the mean.

Step 2: Substitute Given Values

We are given the mean as 7.2 and the median as 7.1. We substitute these values into the empirical formula.

Step 3: Calculate the Products

Now, we perform the multiplications: $3 \times 7.1 = 21.3$ and $2 \times 7.2 = 14.4$ .

Step 4: Calculate the Mode

Finally, we subtract 14.4 from 21.3 to find the value of the mode.